"Inversion heights of embeddings into division rings"
Time: 1:40 PM
Location: Hill 425
Thursday, October 29th
Emily Sergel , Rutgers University
"Noncommutative biorthogonal polynomials"
Time: 1:40 PM
Location: Hill 423
Thursday, October 15th
Ken Johnson, Penn State Abington
"Circulants, group matrices and generalizations, the relation to Gelfand pairs and harmonic analysis"
Time: 1:40 PM
Location: Hill 425
Abstract: I will introduce the group matrix corresponding to a finite
group G. This is a matrix in commuting variables, and its determinant lies at
the
foundations of group representation theory. Question: what if the
variables are not commutative? V. Retakh has already obtained results in
the case where G is a cyclic group and I will give a description of some
of his results. I will show how the study of the operation of right
division (which gives a non-associative structure) can put a group matrix
in a simplified form. I will also explain how a family of Gelfand pairs
arises from a more general look at how group characters arose. I will also
mention some of the many open questions arising from the work.
Thursday, October 8th
Robert Wilson, Rutgers University
" Hilbert series of a class of nilpotent algebras associated with directed graphs and cohomology of order complexes, II"
Time: 1:40 PM
Location: Hill 425
Thursday, September 24th
Vladimir Retakh, Rutgers University
"Noncommutative triangulations"
Time: 1:40 PM
Location: Hill 425
Abstract: TBA
Thursday, September 17th
Robert Wilson, Rutgers University
" Hilbert series of a class of nilpotent algebras associated with directed graphs and cohomology of order complexes"
Time: 1:40 PM
Location: Hill 425
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